Answer:
Step-by-step explanation:
<u>Given formula:</u>
- G(t)= 63000(1 + 0.0255/4)^4t
<u>Need to find the value of t when G(t) = 150000</u>
- 150000 = 63000( 1+ 0.0255/4)^4t
- ( 1+ 0.0255/4)^4t = 150000/63000
- ( 1+ 0.0255/4)^4t = 2.3809
- 4t* log( 1+ 0.0255/4) = log 2.3809
- 4t *0.00275983965 = 0.37674115501
- t = 0.37674115501/(4*0.00275983965)
- t = 34.13 years rounded
Answer:
<u>The correct answer is B. 3/4</u>
Step-by-step explanation:
In the expression 5n - 2m/7+ 3/4, what is the constant?
Let's analyze the coefficients, variables, operators and constants, as follows:
A. Coefficients:
5 is coefficient for n and 2/7 is coefficient for m
B. Variables:
n and m
C. Operators:
- between 5n - 2m/7
+ between 2m/7+ 3/4
D. Constant:
3/4 that is not affected by any variable
<u>The correct answer is B. 3/4</u>
<span>weeks C. $20 down with equal payments of $10 for 12 </span>
a. The expression y=5x represent the number of small marbles she has.
b. The expression z=3x+2 represents the number of large marbles she has.
c. Amy has 310 small marbles, 62 medium marbles and 188 large marbles.
Step-by-step explanation:
a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.
Medium marbles = x
Let,
Small marbles = y
According to given statement;
She has five times as many small marbles as medium marbles.
y = 5x Eqn 1
The expression y=5x represent the number of small marbles she has.
b. Write an algebraic expression to represent the number of large marbles she has.
Let,
Large marbles = z
The number of large marbles is two more than three times the number of medium marbles.
z = 3x+2 Eqn 2
The expression z=3x+2 represents the number of large marbles she has.
c. If Amy has a total of 560 marbles, how many of each size does she have?
x+y+z= 560 Eqn 3
Putting value of y and z from Eqn 1 and 2 in Eqn 3

Dividing both sides by 9

Putting x=62 in Eqn 1

Putting x=62 in Eqn 2

Amy has 310 small marbles, 62 medium marbles and 188 large marbles.
Keywords: linear equation, substitution method
Learn more about substitution method at:
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Answer:
A
Step-by-step explanation:
It looks like M is composed of all real numbers and that U = R also means its composed of all real numbers. This means that M and U are equal and both are composed of all real numbers.
To define the complement of M, it includes all values which are not in M. However, since M already has all real numbers and U doesn't have any values that M doesn't then the complement is nothing. It is an empty set with no items in it. This means A is the correct answer.